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Simplifying 4 + 2(3y + -8) = -2(5y + -3) + 2y Reorder the terms: 4 + 2(-8 + 3y) = -2(5y + -3) + 2y 4 + (-8 * 2 + 3y * 2) = -2(5y + -3) + 2y 4 + (-16 + 6y) = -2(5y + -3) + 2y Combine like terms: 4 + -16 = -12 -12 + 6y = -2(5y + -3) + 2y Reorder the terms: -12 + 6y = -2(-3 + 5y) + 2y -12 + 6y = (-3 * -2 + 5y * -2) + 2y -12 + 6y = (6 + -10y) + 2y Combine like terms: -10y + 2y = -8y -12 + 6y = 6 + -8y Solving -12 + 6y = 6 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -12 + 6y + 8y = 6 + -8y + 8y Combine like terms: 6y + 8y = 14y -12 + 14y = 6 + -8y + 8y Combine like terms: -8y + 8y = 0 -12 + 14y = 6 + 0 -12 + 14y = 6 Add '12' to each side of the equation. -12 + 12 + 14y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14y = 6 + 12 14y = 6 + 12 Combine like terms: 6 + 12 = 18 14y = 18 Divide each side by '14'. y = 1.285714286 Simplifying y = 1.285714286
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